The On-Line Encyclopedia of Bongard Problems

Search: +meta:BP886

Displaying 21-30 of 31 results found.

( prev | next ) page 1 2 3 4

Sort: id Format: long Filter: (all | no meta | meta) Mode: (words | no words)

Fractal is tiled by three smaller copies of itself vs. fractal is tiled by five smaller copies of itself.

(edit; present; nest [left/right]; search; history)

	COMMENTS	`More specifically, all left examples shown in this Problem have Hausdorff dimension log2(3) while all right examples have Hausdorff dimension log3(5).` `Left examples can tile themselves by any power of 3 smaller same-sized copies of themselves while right examples can tile themselves by any power of 5 smaller same-sized copies of themselves.` `Homage to Bongard's original three versus five Problems.`
	CROSSREFS	`Adjacent-numbered pages: BP526 BP527 BP528 BP529 BP530 * BP532 BP533 BP534 BP535 BP536`
	KEYWORD	`perfect, infinitedetail`
	CONCEPT	`fractal (info \| search),` `recursion (info \| search),` `self-reference (info \| search),` `tiling (info \| search),` `three (info \| search),` `five (info \| search)`
	WORLD	`fractal_self_tile [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

Image of repeating wallpaper with only 3-fold rotational symmetries versus image of repeating wallpaper with some other symmetries.

(edit; present; nest [left/right]; search; history)

	COMMENTS	`Left examples have wallpaper symmetry group p3 (a.k.a. 333).`
	CROSSREFS	`Adjacent-numbered pages: BP801 BP802 BP803 BP804 BP805 * BP807 BP808 BP809 BP810 BP811`
	KEYWORD	`nice, math, bordercontent`
	CONCEPT	`rotational_symmetry (info \| search),` `three (info \| search)`
	WORLD	`wallpaper [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

The numbers of dots differ by three vs. not so.

(edit; present; nest [left/right]; search; history)

	CROSSREFS	`Adjacent-numbered pages: BP920 BP921 BP922 BP923 BP924 * BP926 BP927 BP928 BP929 BP930`
	KEYWORD	`math, unorderedpair, traditional`
	CONCEPT	`subtraction (info \| search),` `number (info \| search),` `dot (info \| search),` `three (info \| search)`
	WORLD	`two_dot_clusters [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

Two unique distances between points vs. three unique distances between points.

(edit; present; nest [left/right]; search; history)

	CROSSREFS	`Adjacent-numbered pages: BP944 BP945 BP946 BP947 BP948 * BP950 BP951 BP952 BP953 BP954`
	KEYWORD	`nice, precise, allsorted, stretch, perfect, traditional, preciseworld`
	CONCEPT	`two (info \| search),` `three (info \| search)`
	WORLD	`3_or_4_points [smaller \| same \| bigger]`
	AUTHOR	`Leo Crabbe`

White space in two circles maximum vs. white space in three circles maximum.

(edit; present; nest [left/right]; search; history)

	CROSSREFS	`Adjacent-numbered pages: BP1014 BP1015 BP1016 BP1017 BP1018 * BP1020 BP1021 BP1022 BP1023 BP1024`
	KEYWORD	`nice, precise, traditional`
	CONCEPT	`recursion_number (info \| search),` `separated_regions (info \| search),` `circle (info \| search),` `recursion (info \| search),` `two (info \| search),` `three (info \| search)`
	WORLD	`circles_cross [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

At least twice as many of one color than the other vs. neither color attains double the other.

(edit; present; nest [left/right]; search; history)

	CROSSREFS	`See the twin BP1052.` `Adjacent-numbered pages: BP1042 BP1043 BP1044 BP1045 BP1046 * BP1048 BP1049 BP1050 BP1051 BP1052`
	KEYWORD	`precise, allsorted, preciseworld`
	CONCEPT	`ratio (info \| search),` `two (info \| search),` `three (info \| search)`
	WORLD	`outline_or_fill_circles_same_size [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

3 in a row vs. not

(edit; present; nest [left/right]; search; history)

	CROSSREFS	`Adjacent-numbered pages: BP1044 BP1045 BP1046 BP1047 BP1048 * BP1050 BP1051 BP1052 BP1053 BP1054`
	KEYWORD	`teach, creativeexamples, left-narrow, right-narrow, contributepairs, fixedgrid, miniworlds`
	CONCEPT	`three (info \| search)`
	AUTHOR	`Jago Collins`

Two parts black to one part white vs. not so.

(edit; present; nest [left/right]; search; history)

	CROSSREFS	`See the twin BP1047.` `Adjacent-numbered pages: BP1048 BP1049 BP1050 BP1051 BP1052 * BP1054 BP1055 BP1056 BP1057 BP1058`
	KEYWORD	`precise, allsorted, preciseworld`
	CONCEPT	`ratio (info \| search),` `one (info \| search),` `two (info \| search),` `three (info \| search)`
	WORLD	`outline_or_fill_circles_same_size [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

Specific structure vs. not so.

(edit; present; nest [left/right]; search; history)

	CROSSREFS	`Adjacent-numbered pages: BP1058 BP1059 BP1060 BP1061 BP1062 * BP1064 BP1065 BP1066 BP1067 BP1068`
	KEYWORD	`notso, arbitrary, perfect, infinitedetail`
	CONCEPT	`fractal (info \| search),` `recursion (info \| search),` `self-reference (info \| search),` `specificity (info \| search),` `one (info \| search),` `two (info \| search),` `three (info \| search)`
	WORLD	`recursive_boxes [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

Each attribute is shared by every group or none vs. some attribute is shared by exactly two groups

(edit; present; nest [left/right]; search; history)

	COMMENTS	`Attributes are shading, shape, and number.` `There are always three groups.` `This problem is related to the card game Set.`
	CROSSREFS	`Adjacent-numbered pages: BP1133 BP1134 BP1135 BP1136 BP1137 * BP1139 BP1140 BP1141 BP1142 BP1143`
	KEYWORD	`nice, precise, allsorted, notso, preciseworld`
	CONCEPT	`all (info \| search),` `number (info \| search),` `same (info \| search),` `two (info \| search),` `three (info \| search)`
	AUTHOR	`William B Holland`

( prev | next ) page 1 2 3 4

		Hints
(Greetings from The On-Line Encyclopedia of Bongard Problems!)